Finding the Fourth Proportional to 1,017.32, 1,523.70 and 784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.32 : 1,523.70 = 784.50 : x
2. Step 2: Convert to fraction form
   1,017.32/1,523.70 = 784.50/x
3. Step 3: Cross multiply
   1,017.32x = 1,523.70 × 784.50
4. Step 4: Simplify right side
   1,017.32x = 1,195,342.65
5. Step 5: Solve for x
   x = 1,195,342.65/1,017.32
6. Step 6: Final answer
   x = 1,175.00